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Finding the Fourth Proportional to 548,332.11, 822,145.80 and 228,704.49

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Solution

The fourth proportional to 548,332.11, 822,145.80 and 228,704.49 is: 342,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,332.11 : 822,145.80 = 228,704.49 : x
  2. Step 2: Convert to fraction form
    548,332.11/822,145.80 = 228,704.49/x
  3. Step 3: Cross multiply
    548,332.11x = 822,145.80 × 228,704.49
  4. Step 4: Simplify right side
    548,332.11x = 188,028,435,894.64
  5. Step 5: Solve for x
    x = 188,028,435,894.64/548,332.11
  6. Step 6: Final answer
    x = 342,909.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.